You had no risk of HIV because you can't get HIV from touching it. You are so safe that you don't need to test. There is nothing to be anxious about.
HIV is instantly inactivated in air which means it is effectively dead so it can't infect from touching it. It doesn't matter if you and another person with HIV were actively bleeding or had cuts at the time either because the HIV is effectively dead. You just touched some animal blood which isn't even in the league with rubbing open wounds together so you are fine. There is no reason to keep trying to wash off dead HIV virus, or to even wash it once. there are meat diseases you can get like salmonella so take care against that risk though.
Only non-sex risks are \sharing needles that you inject with but you didn't do that so you had no risk. This sentence is all you need to know to protect yourself against HIV.
Even with blood, lactation cuts, rashes, burns etc air or saliva does not allow inactivated virus to infect from oral activities. The above HIV science is 40 years old and very well established so nothing you can add will make your situation a risk.
Lucky for you the husband saved the chicken.
As an adult, the only risks for HIV are:
1) having unprotected, penetrative vaginal or anal sex, or
2) sharing IV drug needles with other IV drug users.
If you don't do either of those activities, you will NEVER have to worry about HIV.
No one has ever contracted HIV from touching blood, even if they have sores, cuts or scrapes on their skin. Put this out of your mind - it isn't possible to get HIV this way.